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Finding the Third Proportional to 30,458,950,498 and 66,801,858,284

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Solution

The third proportional to 30,458,950,498 and 66,801,858,284 is: 146,508,274,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458,950,498 : 66,801,858,284 = 66,801,858,284 : x
  2. Step 2: Convert to fraction form
    30,458,950,498/66,801,858,284 = 66,801,858,284/x
  3. Step 3: Cross multiply
    30,458,950,498x = 66,801,858,284 × 66,801,858,284
  4. Step 4: Simplify right side
    30,458,950,498x = 4,462,488,270,195,619,528,704
  5. Step 5: Solve for x
    x = 4,462,488,270,195,619,528,704/30,458,950,498
  6. Step 6: Final answer
    x = 146,508,274,160.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.